Prime p₀= 2342352710171731637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: Landjunge
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2342351222050887967	0 10 100 106 154 162 222 244 282 304 364 372 420 426 516 526	-1488120843670
STPT(10)	2342351251502503907	0 2 30 32 42 44 54 56 84 86	-1458669227730
SPT(16)	2342351555938382507	0 36 116 180 192 266 312 320 336 344 390 464 476 540 620 656	-1154233349130
SPT(16)	2342351894745827417	0 14 32 36 120 146 194 222 224 252 300 326 410 414 432 446	-815425904220
SPT(16)	2342352641701938499	0 18 88 112 130 154 190 204 208 222 258 282 300 324 394 412	-68469793138
SPT(16)	2342352706300007981	0 6 32 42 90 108 110 152 186 228 230 248 296 306 332 338	-3871723656
STPT(10)	2342352855780601397	0 2 30 32 42 44 54 56 84 86	145608869760
SPT(16)	2342352941433766463	0 20 24 30 48 90 96 108 146 158 164 206 224 230 234 254	231262034826
TPT(14)	2342353219210743227	0 2 24 26 84 86 150 152 222 224 234 236 264 266	509039011590
SPT(16)	2342354227976688721	0 6 12 90 108 130 132 136 252 256 258 280 298 376 382 388	1517804957084
STPT(10)	2342354363302860131	0 2 36 38 78 80 120 122 156 158	1653131128494